2(3x+1)=x-3

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Solution for 2(3x+1)=x-3 equation:


Simplifying
2(3x + 1) = x + -3

Reorder the terms:
2(1 + 3x) = x + -3
(1 * 2 + 3x * 2) = x + -3
(2 + 6x) = x + -3

Reorder the terms:
2 + 6x = -3 + x

Solving
2 + 6x = -3 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
2 + 6x + -1x = -3 + x + -1x

Combine like terms: 6x + -1x = 5x
2 + 5x = -3 + x + -1x

Combine like terms: x + -1x = 0
2 + 5x = -3 + 0
2 + 5x = -3

Add '-2' to each side of the equation.
2 + -2 + 5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = -3 + -2
5x = -3 + -2

Combine like terms: -3 + -2 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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